The possible compatibility of Einstein's general theory of relativity,Mach's principle,and Rosen's bimetric theory,in relation to Horák's cosmic potential |
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| Authors: | Pavel Vorá?ek |
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| Institution: | (1) Lund Observatory, Lund, Sweden |
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| Abstract: | Mach's principle is formulated in two different ways, heuristic and mathematical. Known problems of the principle are listed and two of them, the problem of its validity in the case the Universe is open and the boundary condition problem, are analyzed separately. Moreover, the history of the cosmic potential is outlined and a short modification of Horák's deduction of the potential is presented together with a discussion on the conditions of the solution. The conclusions are drawn that the Universe is closed and that Mach's principle is compatible with the general theory of relativity, provided that the Big Bang did not start from a singularity but from finite volume and density. In the last section it is shown that Rosen's bimetric theory is compatible with our picture of the Universe. |
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